Project #73793 - Management Science

 

The following linear programming model formulation is used for the production of four different products, with two different manufacturing processes and two different material requirements:

 

Maximize Z= 50x1 + 58x2 + 46x3 + 62x4

 

Subject to

 

4x1 + 3.5x2 + 4.6x3 + 3.9x4 ≤ 600hr. (process 1)

 

2.1x1 + 2.6x2 +3.5x3 + 1.9x4 ≤ 500 hr. (process 2)

 

15x1 + 23x2 + 18x3 + 25x4 ≤ 3,600 lb. (material A)

 

8x1 + 12.6x2 + 9.7x310.5x4 ≤ 1,700 lb. (material B)

 

 

 

        X1+x2­­­­­___  ≥ .60

 

X1+x2+x3+x4

 

X1,x2,x3,x4 ≥ 0

 

 

A) Solve this problem by using the computer

B) Identify the sensitivity ranges for the objective function coefficients and the constraint quantity values

C) Which is the most valuable resource to the firm

 

Subject Business
Due By (Pacific Time) 06/13/2015 12:00 am
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